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Many-server Queues with Customer Abandonment: Numerical Analysis of their Diffusion Model
16 references·6 citing·32 second hop
Many-server Queues with Customer Abandonment: Numerical Analysis of their Diffusion Model (2013)Many-server Queues with Customer Abandonm…Advances in Queueing Theory, Methods, and Open Problems (2023)Advances in Queueing Theory, …Service Engineering in Action: The Palm/Erlang-A Queue, with Applications to Call Centers (2006)Service Engineering in Action…Statistical Analysis of a Telephone Call Center (2005)Statistical Analysis of a Tel…Call Centers with Impatient Customers: Many-Server Asymptotics of the M/M/n + G Queue (2005)Call Centers with Impatient C…Stochastic Differential Equations (2003)Stochastic Differential Equat…Designing a Call Center with Impatient Customers (2002)Designing a Call Center with …The multiclass GI/PH/N queue in the Halfin-Whitt regime (2000)The multiclass GI/PH/N queue …Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Introduction to Matrix Analyt…Reflected Brownian Motion in an Orthant: Numerical Methods for Steady-State Analysis (1992)Reflected Brownian Motion in …The QNET method for two-moment analysis of open queueing networks (1990)The QNET method for two-momen…Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Differential Equat…Open Queueing Networks in Heavy Traffic (1984)Open Queueing Networks in Hea…On the heavy-traffic limit theorem forGI/G/∞ queues (1982)On the heavy-traffic limit th…Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Heavy-Traffic Limits for Queu…Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)Multiple channel queues in he…Limiting diffusion approximations for the many server queue and the repairman problem (1965)Limiting diffusion approximat…Increases or discounts: Price strategies based on customers’ patience times (2022)Increases or discounts: Price…SRPT Scheduling Discipline in Many-Server Queues with Impatient Customers (2021)SRPT Scheduling Discipline in…Dynamic Scheduling in a Many-Server, Multiclass System: The Role of Customer Impatience in Large Systems (2018)Dynamic Scheduling in a Many-…Stein's method for steady-state diffusion approximations of $M/Ph/n+M$ systems (2015)Stein's method for steady-sta…Validity of heavy-traffic steady-state approximations in many-server queues with abandonment (2014)Validity of heavy-traffic ste…Queues in Service Systems: Customer Abandonment and Diffusion Approximations (2011)Queues in Service Systems: Cu…Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Call center outsourcing: Coordinating staffing level and service quality (2008)The Impact of Delay Announcements in Many-Server Queues with Abandonment (2008)The single server queue in heavy traffic (1961)Multiple channel queues in heavy traffic. I (1970)Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)An introduction to queueing theory (1993)The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research (2007)Stochastic Modeling and the Theory of Queues (1989)Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System (2007)Forecasting: theory and practice (2022)Networks of Waiting Lines (1957)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Contact Centers with a Call-Back Option and Real-Time Delay Information (2004)Maintenance spare parts planning and control: a framework for control and agenda for future research (2014)Proceedings of the 2002 Winter Simulation Conference (2002)Dimensioning Large Call Centers (2004)Foundations and Implications of a Proposed Unified Services Theory (2006)The Batch Markovian Arrival Process: A Review and Future Work (2001)Fundamentals of Matrix-Analytic Methods (2013)A Nonparametric Model of Term Structure Dynamics and the Market Price of Interest Rate Risk (1997)The dynamics of stochastic volatility: evidence from underlying and options markets (2003)Liaisons dangereuses: Increasing connectivity, risk sharing, and systemic risk (2012)The Role of Portfolio Constraints in the International Propagation of Shocks (2008)Stochastic Differential Equations (2014)Numerical Solution of Stochastic Differential Equations (2016)
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References

  • 1987Stochastic Differential Equations: An Introduction with Applications.3,963 cited
  • 2003Stochastic Differential Equations2,090 cited
  • 1999Introduction to Matrix Analytic Methods in Stochastic Modeling1,988 cited
  • 2005Statistical Analysis of a Telephone Call Center804 cited
  • 1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
  • 2002Designing a Call Center with Impatient Customers576 cited
  • 1984Open Queueing Networks in Heavy Traffic449 cited
  • 1970Multiple channel queues in heavy traffic. II: sequences, networks, and batches281 cited
  • 2005Call Centers with Impatient Customers: Many-Server Asymptotics of the M/M/n + G Queue275 cited
  • 1965Limiting diffusion approximations for the many server queue and the repairman problem211 cited
  • 1992Reflected Brownian Motion in an Orthant: Numerical Methods for Steady-State Analysis167 cited
  • 2023Advances in Queueing Theory, Methods, and Open Problems165 cited
  • 1982On the heavy-traffic limit theorem forGI/G/∞ queues132 cited
  • 2000The multiclass GI/PH/N queue in the Halfin-Whitt regime117 cited
  • 1990The QNET method for two-moment analysis of open queueing networks109 cited

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  • 2006Service Engineering in Action: The Palm/Erlang-A Queue, with Applications to Call Centers108 cited
  • Cited by

    • 2018Dynamic Scheduling in a Many-Server, Multiclass System: The Role of Customer Impatience in Large Systems35 cited
    • 2014Validity of heavy-traffic steady-state approximations in many-server queues with abandonment34 cited
    • 2011Queues in Service Systems: Customer Abandonment and Diffusion Approximations18 cited
    • 2021SRPT Scheduling Discipline in Many-Server Queues with Impatient Customers16 cited
    • 2015Stein's method for steady-state diffusion approximations of $M/Ph/n+M$ systems16 cited
    • 2022Increases or discounts: Price strategies based on customers’ patience times13 cited